Summer Seminars for Correlated Electrons and Frustrated Magnets

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Organizers: James Analytis, Yong-Baek Kim, Zohar Nussinov and Natalia Perkins

Schedule

Tuesday, June 2, 2020

10:00 am (CST)

Ashvin Vishwanath (Harvard University)

Title: Charged Skyrmions and Superconductivity in Magic Angle Graphene (talk link)

Abstract: In bilayer graphene twisted near a magic angle, both interaction-driven insulators and superconductors have been experimentally realized on varying the electron filling. We propose a topological mechanism for the observed superconductivity, that ties the superconductor to the interaction-driven insulating phases. Specifically we show that a promising candidate for an ordered insulating phase has the property that skyrmions in its order parameter carry electric charge. Skyrmion condensation can then lead to a superconductor - whose properties we calculate within the theory. More generally we identify a physical setting which can promote a new mechanism for superconductivity, the pairing of charged topological textures, which can mitigate the effects of Coulomb repulsion.

Work done in collaboration with Eslam Khalaf, Shubhayu Chatterjee, Nick Bultinck, Shang Liu and Mike Zaletel. arXiv:2004.00638 and arXiv:1911.02045

Chair: Natalia Perkins

Tuesday, June 9, 2020

10:00 am (CST)

Andrew P. Mackenzie (Max Planck Institute for Chemical Physics of Solids, Dresden)

Title: Update on the status of the order parameter in Sr2RuO4 (talk link)

Abstract: The past few years have seen a resurgence of interest in the long-standing quest to understand the unconventional superconductivity of Sr2RuO4. I will begin with some remarks on why we should still care about this problem over a quarter of a century since the discovery of the superconductivity. In the main part of the talk I will summarise the rapid experimental developments that are taking place, and give a personal opinion of the current status of the field and the challenges for the future.

Chair: James Analytis

Tuesday, June 16, 2020

10:00 am (CST)

Cristian Batista (University of Tennessee)

Title: Real space Berry curvature of itinerant electron systems with spin-orbit interaction (talk link)

Abstract: By considering an extended double-exchange model with spin-orbit coupling (SOC), we derive a general form of the Berry phase γ that electrons pick up when moving around a closed loop. This form generalizes the well-known result valid for SU(2) invariant systems, γ = Ω/2, where Ω is the solid angle subtended by the local magnetic moments enclosed by the loop. The general form of γ demonstrates that collinear and coplanar magnetic textures can also induce a Berry phase different from 0 or π, smoothly connecting the result for SU(2) invariant systems with the well-known result of Karplus and Luttinger for collinear ferromagnets with finite SOC. By taking the continuum limit of the theory, we also derive the corresponding generalized form of the real space Berry curvature. The new expression is a generalization of the scalar spin chirality, which is presented in an explicitly covariant form. We finally show how these simple concepts can be used to understand the origin of the spontaneous topological Hall effect that has been recently reported in collinear and coplanar antiferromagnetic phases of correlated materials.

Work done in collaboration with Shang-Shun Zhang, Hiroaki Ishizuka, Hao Zhang, Gábor B. Halász. Phys. Rev. B 101, 024420 (2020).

Chair: Yong-Baek Kim


Tuesday, June 23, 2020

10:00 am (CST)

Hae-Young Kee (University of Toronto)

Title: Kitaev and other interactions in honeycomb Mott insulators (talk link)

Abstract: The spin S=1/2 Kitaev honeycomb model has attracted significant attention, since emerging candidate materials have provided a playground to test non-Abelian anyons. I will review recent theoretical and experimental progress of putative quantum spin liquids in RuCl3. I will then show how to achieve the higher-spin Kitaev interaction, which may offer another path to a quantum spin liquid. The S=1 antiferromagnetic Kitaev interaction is generated from superexchange paths under a certain condition. Using numerical techniques, a finite regime of S=1 spin liquid in the presence of the Heisenberg interaction is found. Candidate materials and emergence of a gapless disordered phase at intermediate magnetic field will be also discussed.

Chair: Zohar Nussinov

Tuesday, June 30, 2020

10:00 am (CST)

Louis Taillefer (University of Sherbrooke)

Title: New signatures of the pseudogap phase of cuprate superconductors (talk link)

Abstract:The pseudogap phase of cuprate superconductors is arguably the most enigmatic phase of quantum matter. With several collaborators, our aim has been to shed new light on this phase by investigating the non-superconducting ground state of cuprate materials at low temperature across a wide doping range, suppressing superconductivity with a magnetic field [1].Hall effect and thermal conductivity measurements across the pseudogap critical doping p* reveal a sharp drop in carrier density n from n = 1 + p above p* to n = p below p* [2,3,4], signaling a major transformation of the Fermi surface. Angle-dependent magneto-resistance (ADMR) directly reveals a change in Fermi surface topology across p* [5]. From specific heat measurements, we observe the classic thermodynamic signatures of quantum criticality: the electronic specific heat Cel shows a sharp peak at p*, where it varies in temperature as Cel ~ – T logT [6]. At p* and just above, the electrical resistivity is linear in T at low T, with an inelastic scattering rate that obeys the Planckian limit [7]. Finally, the pseudogap phase is found to have a large negative thermal Hall conductivity, which extends to zero doping [8]. We show that the pseudogap phase makes phonons become chiral [9].

[1] Proust & Taillefer, Annu. Rev. Condens. Matter Phys. 10, 409 (2019).

[2] Badoux et al., Nature 531, 210 (2016).

[3] Collignon et al., Phys. Rev. B 95, 224517 (2017).

[4] Michon et al., Phys. Rev. X 8, 041010 (2018).

[5] Fang, Grissonnanche et al., arXiv:2004.01725 (2020).

[6] Michon et al., Nature 567, 218 (2019).

[7] Legros et al., Nat. Phys. 15, 142 (2019).

[8] Grissonnanche et al., Nature 571, 376 (2019).

[9] Grissonnanche et al., arXiv:2003.00111 (2020).


Chair: James Analytis

Tuesday, July 7, 2020

10:00 am (CST)

Lucile Savary (Ecole Normale Supérieure de Lyon)

Title: Thermal transport in quantum magnets (talk link)

Abstract: I will present some general results for all components of the thermal conductivity tensor in magnets, especially useful in regimes where the current is not carried by well-defined quasiparticles. This includes, but is not limited to, high temperatures as compared with the magnetic exchange scale, which is most easily accessible in magnets. I will also discuss general results for the effect of spin-phonon coupling on the thermal conductivity in magnets, obtained within a hydrodynamic approach.

Chair: Yong-Baek Kim

Tuesday, July 14, 2020

10:00 am (CST)

Radu Coldea (Oxford University)

Title: Neutron scattering studies of touching points in magnon bands (talk link)

Abstract: Complementary to studies of symmetry-protected band-touching points for electron bands in metallic systems, we explore analogous physics for propagating bosonic quasiparticles, magnons and spin-orbit excitons, in the insulating easy-plane honeycomb quantum magnet CoTiO3. We probe directly the winding of the isospin texture of the quasiparticle wavefunction in momentum space near a nodal point through its characteristic fingerprint in the dynamical structure factor probed by inelastic neutron scattering. In addition, our high-resolution measurements reveal a finite spectral gap at low energies, which cannot be explained by a semiclassical treatment for the ground state pseudospins-1/2. As possible mechanisms for the spectral gap generation we propose quantum-order-by-disorder induced by bond-dependent anisotropic couplings such as Kitaev exchange, and higher-order spin-orbital exchanges. We provide a spin-orbital flavor-wave model that captures both the gapped magnons and dispersive spin-orbit excitons within the same Hamiltonian.

Work done in collaboration with M. Elliot, P.A. McClarty, D. Prabhakaran, R.D. Johnson, H.C. Walker, P. Manuel, arXiv:2007.04199

Chair: James Analytis

Tuesday, July 21, 2020

10:00 am (CST)

Johannes Knolle (Technische Universität München)

Title: Probing charge neutral excitations in two-dimensional quantum magnets and heterostructures (talk link)

Abstract: The search for topological properties of insulating quantum magnets is an exciting, yet challenging task. While related electronic systems saw a swift verification of the bulk-boundary correspondence because surface sensitive probes like angle resolved photoemission spectroscopy (ARPES) and scanning tunneling microscopy (STM) were readily available, similar smoking gun signatures remain elusive for magnetic systems due to the charge-neutral character of spin excitations. Recent years have seen remarkable progress in identifying topological quantum magnets, for example materials potentially realizing a Kitaev quantum spin liquid (QSL). In this talk, I will discuss recent results of Kitaev heterostructures and new proposals for probing charge neutral excitations.

Chair: Zohar Nussinov

Tuesday, July 28, 2020

10:00 am (CST)

Yong-Baek Kim (University of Toronto)

Title: Non-Fermi Liquids in Multipolar Materials (talk link)

Abstract: The hallmarks of non-Fermi liquids are singular thermodynamic and transport properties that are distinct from those associated with a Fermi liquid. Non-Fermi liquid behaviors are famously seen in cuprates, heavy fermion materials, and metallic quantum critical systems. In this talk, I discuss possible non-Fermi liquids in multipolar materials, where conduction electrons interact with the local moments that do not carry any dipole moment, but possess higher-rank multipolar moments. This theoretical work is partly motivated by recent experiments on cubic f-electron systems, where the local moments arise from non-Kramers ground states. I present the renormalization-group and conformal-field-theory solution of a multipolar Kondo problem, where a single multipolar moment is interacting with the orbital and spin degrees of freedom of conduction electrons. I show that an unexpected non-Fermi liquid state emerges and discuss its broader implications to existing and future experiments. Work done in collaboration with Adarsh Patri, arXiv:2005.08973 and an earlier work with Adarsh Patri and Ilia Khait, arXiv:1904.02717.

Chair: Natalia Perkins

Tuesday, August 4, 2020

10:00 am (CST)

Anna Keselman (KITP, Santa Barbara)

Title: Spectral Signatures of Quasiparticle Interactions in Antiferromagnets (talk link)

Abstract: Elementary excitations in quantum magnets can be typically described in terms of long-lived quasiparticles, either simple magnons (spin waves), or more exotic fractionalized excitations such as spinons. In general, when multiple quasiparticles are present, they interact, and in a strongly correlated system, they interact strongly. In this talk I will discuss signatures of interactions between quasiparticles that show up in the dynamical spin correlations of antiferromagnets in presence of a magnetic field. I will first focus on our results for the antiferromagnetic spin-1/2 chain, addressing both the low and high magnetization regimes. In the low magnetization regime, in the gapless phase, we find that the marginally irrelevant backscattering interaction between the spinons creates a non-zero gap between two branches of excitations at small momentum. In the high magnetization regime, close to the saturation field, we uncover the appearance of two-magnon bound states in the transverse dynamical correlations. I will then address higher-dimensional systems and argue that these observations are not unique to 1D. Work done in collaboration with Leon Balents and Oleg Starykh, arXiv:2005.12399.

Chair: Natalia Perkins

Tuesday, August 11, 2020

10:00 am (CST)

Siddharth A. Parameswaran (University of Oxford)

Title: Symmetry and topology of quasiparticles and their bound states in correlated insulators (talk link)

Abstract: In this talk, I explore two examples of how the symmetry of a microscopic lattice or topology of an underlying non-interacting band structure can be imprinted in the excitations of strongly-correlated insulators. First, I show that previously-unnoticed crystal symmetry constraints drastically alter the understanding of Ising quantum criticality in the quasi-1D magnetic insulator CoNb2O6, resolving decade-old puzzles related to the dispersion of confined `kinks’ in the ordered phase and the decay of spin-flip quasiparticles in the paramagnetic phase [1]. I will then change focus to the correlated quantum anomalous Hall insulator recently observed in twisted bilayer graphene near the magic angle, where I will discuss the topological properties [2] and many-body physics [3] of excitonic bound states.

References:

[1] M. Fava, R. Coldea, and S.A. Parameswaran, arXiv:2004.04169 (2020).

[2] Y.H. Kwan, Y. Hu, S.H. Simon, and S.A. Parameswaran, arXiv:2003.11560 (2020).

[3] Y.H. Kwan, Y. Hu, S.H. Simon, and S.A. Parameswaran, arXiv:2003.11559 (2020).

Chair: Yong-Baek Kim

Tuesday, August 18, 2020

10:00 am (CST)

Frank Pollmann (Technische Universität München)

Title: Dynamical signatures of frustrated quantum spin systems (talk link)

Abstract: Dynamical response functions encode characteristic features of the emergent excitations in frustrated quantum magnets. First, we develop a matrix-product state based method to efficiently obtain dynamical response functions for two-dimensional lattice Hamiltonians on large cylinders. Using this method, we demonstrate that magnon excitations in a spin-1/2 triangular lattice Heisenberg antiferromagnet are stabilized by strong interactions---this is surprising given the common expectation of magnon decay in this paradigmatic frustrated magnet. Second, we introduce an isometric restriction of a general tensor-network ansatz that allows for highly efficient contraction of the network. This approach captures the area law entanglement of two-dimensional systems and provides a tool to investigate their dynamical properties.

Chair: Zohar Nussinov

Tuesday, August 25, 2020

10:00 am (CST)

Peter Armitage (The Johns Hopkins University)

Title: Novel Measure of Quantum Correlations Using Nonlinear THz Response (talk link)

Abstract: The rate of discovery in quantum correlated materials in recent years has been remarkable. From 2D materials, to topological insulators, to strong spin-orbit coupled systems, to quantized responses in spin-liquids and fractionalization, these advances challenge our previous notions of the possible behavior of electrons in solids. However, it is now clear that many of their most interesting purported properties remain hidden to us. They have distinct quantum mechanical correlations that are in many cases only indirectly accessible with current techniques. For instance, they can have Berry phase structures in momentum space, fractionalized quasiparticles, or many-body entanglement that we simply do not have the tools to characterize properly. There can also be new forms of classical order that are largely invisible to conventional scattering techniques. Going forward it is going to be essential to develop new techniques and instrumentation that can reveal their properties. One of the most promising directions to get qualitatively new information is the use of nonlinear optical spectroscopies and particularly those in the THz range. For a number of reasons nonlinear spectroscopic responses can give unique information about quantum correlations that are completely inaccessible at the level of linear response. In this talk I will discuss my group's efforts to develop and use nonlinear THz spectroscopic techniques to probe unique aspects of quantum materials. I will center on the new technique of THz 2D coherent spectroscopy from both a theoretical and experimental perspective. I will give examples of this technique's use to probe phenomena as diverse as fractionalization in spin liquids, “marginal quasiparticles” in electronic glasses on the insulating side of the 3D metal-insulator transition, and the strange metal state of cuprate superconductors.

[1] Wan, Y., & Armitage, N. P. (2019). "Resolving continua of fractional excitations by spinon echo in THz 2D coherent spectroscopy”, Physical review letters, 122(25), 257401.

[2] Mahmood, F., Chaudhuri, D., Gopalakrishnan, S., Nandkishore, R., & Armitage, N. P. (2020). "Observation of a marginal Fermi glass using THz 2D coherent spectroscopy," arXiv preprint arXiv:2005.10822.

Chair: James Analytis

Tuesday, September 1 , 2020

10:00 am-10:30 am (CST)

(Link to all talks)

Mengxing Ye (KITP, Santa Barbara)

Title: Pseudogap due to Magnetic Fluctuations

Abstract: The pseudogap behavior, observed in several classes of materials, most notably high Tc cuprates, remains one of the most debated phenomena in correlated electron systems. A candidate scenario is to consider pseudogap as a precursor to an ordered state, such as SDW magnetism in a Hubbard model near half-filling. In this talk, I will explain how the electrons remain a dynamical memory about the underlying order in some temperature range even if the order is already destroyed by thermal fluctuations. I will further show that by studying the model on a triangular lattice in the spiral SDW state, we can introduce a knob that tunes the strength of the pseudogap behavior. This helps to understand whether pseudogap is a generic property of a system near an ordered state or not. Work done in collaboration with Andrey Chubukov, Phys. Rev. B 100, 035135 (2019).


10:30 am-11:00 am (CST)

Jiun-Haw Chu (University of Washington, Seattle)

Title: Nematic quantum criticality in iron-based superconductors

Abstract: Electronic nematicity refers to a self-organized electronic state that breaks rotational symmetry without

long range translational order. In the iron-based superconductors, the nematic transition temperature can

be continuously tuned by doping and pressure, which extrapolates to zero as the superconducting Tc is

tuned to optimal. In this talk, I will present two striking phenomena associated with this putative nematic

quantum critical point. First, we discovered that the superconductivity is extremely sensitive to the

anisotropic strain near optimal doping – the Tc is reduced by five-fold under less than a percent

anisotropic strain. Second, using the combination of precision detwinning and elastoresistivity

measurements, we found that the ratio between resistivity anisotropy and structural orthorhombicity

within the nematic ordered phase enhances by fourfold as the doping approaches optimal, suggesting that

the conduction electrons become increasingly sensitive to the lattice even as the nematic order is

suppressed.

11:00 am-11:30 am (CST)

Louk Rademaker (University of Geneva)

Talk: Correlated Topology in Twisted Graphene Sandwiches

Abstract: When two monolayers of graphene are stacked with a small relative twist angle the effective band structure becomes incredibly flat, paving the way for interesting correlated effects. I will show the first direct evidence for such flat bands with ARPES. Interestingly, the flat bands are also topologically nontrivial. Combined with interactions this quickly leads to symmetry-breaking induced Chern insulators. I will show that in twisted monolayer-bilayer graphene this leads to an quantum anomalous Hall effect. In regular twisted bilayer graphene under the application of a large field, this leads to Hofstadter subband ferromagnetism and symmetry broken Chern insulators.

References:

Direct evidence for flat bands in twisted bilayer graphene from nano-ARPES, https://arxiv.org/abs/2002.02289

Topological Flat Bands and Correlated States in Twisted Monolayer-Bilayer Graphene, https://arxiv.org/abs/2004.14964

Hofstadter subband ferromagnetism and symmetry broken Chern insulators in twisted bilayer graphene https://arxiv.org/abs/2007.06115



Chair: Yong-Baek Kim